Question

2) Descubra o MMC de:
a) MMC (50, 60 e 120)=
b) MMC (36 e 100)=
c) MMC (18, 9 e 45)=
d) MMC (20, 15 e 30)=

Answer 1

Resposta:

a) 600

b) 900

c) 60

d) 60

Explicação passo-a-passo:

a) MMC (50, 60 e 120) =  2 x 2 x 2 x 3 x 5 x 5 = 8 x 3 x 25 = 24 x 25 = 600

50, 60, 120 | 2

25, 30, 60 | 2

25, 15, 30 | 2

25, 15, 15 | 3

25, 5, 5 | 5

5, 1, 1 | 5

1, 1 ,1

b) MMC (36 e 100) = 2 x 2 x 3 x 3 x 5 x 5  = 4 x 9 x 25 = 36 x 25 = 900

36, 100 | 2

18, 50 | 2

9, 25 | 3

3, 25 | 3

1, 25 | 5

1, 5 | 5

1, 1

c) MMC (18, 9 e 45) =  2 x 3 x 3 x 5 = 2 x 6 x 5 = 12 x 5 = 60

18, 9, 45 | 2

9, 9, 45 | 3

3, 3, 15 | 3

1, 1, 5 | 5

1, 1, 1

d) MMC (20, 15 e 30) = 2 x 2 x 3 x 5 = 4 x 3 x 5 = 12 x 5 = 60

20, 15, 30 | 2

10, 15, 15 | 2

5, 15, 15 | 3

5, 5, 5 | 5

1, 1, 1

Bons estudos.